461209610400 has 288 divisors, whose sum is σ = 1871673205248. Its totient is φ = 95835724800.

The previous prime is 461209610387. The next prime is 461209610417. The reversal of 461209610400 is 4016902164.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063062 + ... + 1432661.

It is an arithmetic number, because the mean of its divisors is an integer number (6498865296).

Almost surely, 2^461209610400 is an apocalyptic number.

461209610400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461209610400 is an abundant number, since it is smaller than the sum of its proper divisors (1410463594848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461209610400 is a wasteful number, since it uses less digits than its factorization.

461209610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495764 (or 2495751 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 461209610400 in words is "four hundred sixty-one billion, two hundred nine million, six hundred ten thousand, four hundred".